(p+q)(p+q+2r)+r^2/(p+q)^2-r^2

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Solution for (p+q)(p+q+2r)+r^2/(p+q)^2-r^2 equation: 


D( x )

(p+q)^2 = 0

(p+q)^2 = 0

(p+q)^2 = 0

x in (-oo:+oo)

(p+q)*(p+q+2*r)+(r^2)/((p+q)^2)-r^2 = 0

((p+q)^3*(p+q+2*r))/((p+q)^2)+(r^2)/((p+q)^2)+(-r^2*(p+q)^2)/((p+q)^2) = 0

(p+q)^3*(p+q+2*r)-r^2*(p+q)^2+r^2 = 0

p^4+4*p*q^3+6*p^2*q^2+4*p^3*q+q^4+2*p^3*r+6*p^2*q*r+6*p*q^2*r+2*q^3*r+r^2-(p^2*r^2)-2*p*q*r^2-(q^2*r^2) = 0

(p^4+4*p*q^3+6*p^2*q^2+4*p^3*q+q^4+2*p^3*r+6*p^2*q*r+6*p*q^2*r+2*q^3*r+r^2-(p^2*r^2)-2*p*q*r^2-(q^2*r^2))/((p+q)^2) = 0

(p^4+4*p*q^3+6*p^2*q^2+4*p^3*q+q^4+2*p^3*r+6*p^2*q*r+6*p*q^2*r+2*q^3*r+r^2-(p^2*r^2)-2*p*q*r^2-(q^2*r^2))/((p+q)^2) = 0 // * (p+q)^2

p^4+4*p*q^3+6*p^2*q^2+4*p^3*q+q^4+2*p^3*r+6*p^2*q*r+6*p*q^2*r+2*q^3*r+r^2-(p^2*r^2)-2*p*q*r^2-(q^2*r^2) = 0

x belongs to the empty set

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